Search a number
-
+
3430100431 = 31191579311
BaseRepresentation
bin1100110001110011…
…0010110111001111
322212001100011012201
43030130302313033
524011101203211
61324210542331
7151000241542
oct31434626717
98761304181
103430100431
11150022524a
127b88979a7
13428834734
142477a4859
151512010c1
hexcc732dcf

3430100431 has 8 divisors (see below), whose sum is σ = 3559292928. Its totient is φ = 3302067000.

The previous prime is 3430100417. The next prime is 3430100449. The reversal of 3430100431 is 1340010343.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3430100431 - 223 = 3421711823 is a prime.

It is a super-2 number, since 2×34301004312 = 23531177933492771522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3430100399 and 3430100408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3430100461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 283735 + ... + 295576.

It is an arithmetic number, because the mean of its divisors is an integer number (444911616).

Almost surely, 23430100431 is an apocalyptic number.

3430100431 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3430100431 is a deficient number, since it is larger than the sum of its proper divisors (129192497).

3430100431 is a wasteful number, since it uses less digits than its factorization.

3430100431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579533.

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 3430100431 is about 58567.0592654267. The cubic root of 3430100431 is about 1508.1190020644.

Adding to 3430100431 its reverse (1340010343), we get a palindrome (4770110774).

The spelling of 3430100431 in words is "three billion, four hundred thirty million, one hundred thousand, four hundred thirty-one".

Divisors: 1 31 191 5921 579311 17958641 110648401 3430100431